Question
Download Solution PDF8 सेमी × 6 सेमी × 4 सेमी लकड़ी के एक आयताकार खंड से ऊँचाई 8 सेमी और आधार त्रिज्या 4 सेमी का एक शंकु बनाया जाता है। बर्बाद हुई लकड़ी का प्रतिशत लगभग क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदी गई जानकारी:
शंकु: ऊँचाई (h) = 8 सेमी, त्रिज्या (r) = 4 सेमी
आयताकार खंड: लंबाई = 8 सेमी, चौड़ाई = 6 सेमी, ऊँचाई = 4 सेमी
प्रयुक्त अवधारणा:
शंकु का आयतन = 1/3πr2h,
एक आयताकार खंड का आयतन = लंबाई × चौड़ाई × ऊँचाई
प्रतिशत बर्बाद हुआ = ((खंड का आयतन - शंकु का आयतन)/खंड का आयतन) × 100%
गणना:
⇒ शंकु का आयतन = 1/3π(4)2 × (8) = 134.041 सेमी³
⇒ खंड का आयतन = 8 × 6 × 4 = 192 सेमी3
⇒ बर्बाद = 192 - 134.041 = 57.959 सेमी3
⇒ प्रतिशत बर्बाद हुआ = (57.959/192) × 100% ≈ 30%
इसलिए, बर्बाद हुई लकड़ी का अनुमानित प्रतिशत 30% है।
Last updated on Jun 26, 2025
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